2820043296 has 288 divisors, whose sum is σ = 9738792000. Its totient is φ = 791368704.

The previous prime is 2820043241. The next prime is 2820043307. The reversal of 2820043296 is 6923400282.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2820043296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497260 + ... + 2498388.

It is an arithmetic number, because the mean of its divisors is an integer number (33815250).

Almost surely, 2^2820043296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869396000).

2820043296 is an abundant number, since it is smaller than the sum of its proper divisors (6918748704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2820043296 is a wasteful number, since it uses less digits than its factorization.

2820043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2820043296 is about 53104.0798432663. The cubic root of 2820043296 is about 1412.8148747059.

The spelling of 2820043296 in words is "two billion, eight hundred twenty million, forty-three thousand, two hundred ninety-six".